Thin and thick bubble walls II: expansion in the wall width

Abstract

We study the dynamics of a cosmological bubble wall beyond the approximation of an infinitely thin wall.In a previous paper, we discussed the range of validity of this approximationand estimated the first-order corrections due to the finite width.Here, we introduce a systematic method to obtain the wall equation of motion and its profile at each order in the wall width.We discuss in detail the next-to-next-to-leading-order terms.We use the results to treat the growth of spherical bubbles and the evolution of small deformations of planar walls.